%0 Journal Article
%T Small Energy Scale for Mixed-Valent Uranium Materials
%A Mikito Koga
%A Daniel L. Cox
%J Physics
%D 1999
%I arXiv
%R 10.1103/PhysRevLett.82.2575
%X We investigate a two-channel Anderson impurity model with a $5f^1$ magnetic and a $5f^2$ quadrupolar ground doublet, and a $5f^2$ excited triplet. Using the numerical renormalization group method, we find a crossover to a non-Fermi liquid state below a temperature $T^*$ varying as the $5f^2$ triplet-doublet splitting to the 7/2 power. To within numerical accuracy, the non-linear magnetic susceptibility and the $5f^1$ contribution to the linear susceptibility are given by universal one-parameter scaling functions. These results may explain UBe$_{13}$ as mixed valent with a small crossover scale $T^*$.
%U http://arxiv.org/abs/cond-mat/9902178v1